Question

A toy can fit 36 equal sized unit blocks in it, then its volume is
A. 36 sq. units
B. 63 sq. units
C. 36 cu. units
D. 62 cu. units

Answer 1

Hint: First of all we have to understand the meaning of unit block, it means all the dimensions i.e. length, breadth and height are equal to 1 unit. Also, we know that volume of a cube is given by,
\[\text{Volume of cube = }{{\text{a}}^{\text{3}}}\]
Where, a is the side of the cube.

Complete step-by-step answer:
We have been given that a toy can fit 36 equal sized unit blocks in it, then we have to find the volume of the toy.
Since, all the 36 equal sized unit blocks occupied the space inside the toy, so, the total volume of all unit blocks must be equal to the volume of the toy. So first we will find the unit volume and then multiply it with 36.
We know that, unit block is a cube having length, breadth and height equal to 1 unit.
By using the formula of \[\text{Volume of cube = }{{\text{a}}^{\text{3}}}\] where a is the side of the cube, we get,
\[\begin{align}
  & \text{Volume of 1 block = }{{\text{1}}^{\text{3}}} \\
 & \Rightarrow 1\text{ cu}\text{.units} \\
 & \Rightarrow \text{Volume of 36 blocks = 36}\times \text{1} \\
 & \Rightarrow \text{36 cu}\text{.units} \\
\end{align}\]
Hence, the volume of toy is equal to 36 cu.units.
Therefore, the correct option is C.

Note: Be careful while choosing the correct option as there is a chance that you might get confused and select the wrong option instead of that you solve it correctly because the option A and C is quite similar, the only difference of their units in option A, it is sq. units and in option C it is cu.units and we know that volume is in cu.units. So, we don’t even have to calculate and get the answer, just by applying the concept and eliminating the options, we can mark the right answer. This is very much effective in competitive exams.